Imaging lens

ABSTRACT

An imaging lens includes a stop; a first lens; a second lens; a third lens having positive refractive power; a fourth lens; a fifth lens having positive refractive power; and a sixth lens, arranged in this order from an object side to an image plane side. The fourth lens is formed in a shape so that a surface thereof on the image plane side is convex near an optical axis thereof. The sixth lens is formed in a shape so that a surface thereof on the image plane side is concave near an optical axis thereof. The second lens is formed in a shape so that a surface thereof on the object side and a surface thereof on the image plane side have specific curvature radii.

CROSS-REFERENCE TO RELATED APPLICATIONS

This is a continuation application of a prior application Ser. No.15/933,710, filed on Mar. 23, 2018, allowed, which is a continuationapplication of a prior application Ser. No. 14/838,521, filed on Aug.28, 2015, allowed, which is a continuation application of a priorapplication Ser. No. 13/905,570, issued as U.S. Pat. No. 9,366,841 onJun. 14, 2016.

BACKGROUND OF THE INVENTION AND RELATED ART STATEMENT

The present invention relates to an imaging lens for forming an image ofan object on an imaging element such as a CCD sensor and a CMOS sensor,and particularly, it relates to an imaging lens suitable for mounting ina relatively small camera such as a built-in camera of a portable deviceincluding a cellular phone and portable information terminal, a digitalstill camera, a security camera, a vehicle onboard camera, and a networkcamera.

In these years, in place of cellular phones that are intended mainly formaking phone calls, so-called “smartphones” have been more widely used,i.e., cellular phones with such functions as those of portableinformation terminals (PDA) and/or personal computers. Since thesmartphones generally have more functions than those of the cellularphones, it is possible to use images taken by a camera thereof invarious applications. For example, while it is possible to use thesmartphones for printing and enjoying images taken, it is also possibleto use images in other usage such as processing images to use for gamecharacters or for makeup simulations, dress fitting simulations, and theothers. The ways of the image usage were not conventionally common,however, it becomes more common mainly among young people

Generally speaking, product groups of cellular phones and smartphonesare often composed of products of various designs for the ones forbeginners to the ones for advanced users. Among them, an imaging lens tobe mounted in a product, which is developed for advanced users, isrequired to have a high resolution lens configuration so as to be alsoapplicable to a high pixel count imaging element of these days. However,as the imaging lens to be mounted in a smartphone used for theabove-described usages, it is critical to be a small size and has a wideangle of view, that is, a wide angle, than having a high resolution.

However, it is also true that even products for beginners require acertain degree of high resolution. In case of a lens configurationcomposed of six lenses, since the number of lenses that compose theimaging lens is many, although it is slightly disadvantageous fordownsizing of the imaging lens, the degree of freedom upon designing ishigh, so that there is potential for achieving both satisfactoryaberration correction and downsizing of the imaging lens in awell-balanced manner. As an imaging lens having the six-lensconfiguration, for example, an imaging lens described in PatentReference has been known.

The imaging lens described in Patent Reference includes a first lensthat is negative and has a shape of a meniscus lens directing a convexsurface thereof to an object side; a bonded lens that is composed of twolenses, positive and negative lenses; a fourth lens that is positive;and a bonded lens that is composed of two lenses, positive and negativelenses, being arranged. According to the imaging lens described inPatent Reference, satisfying a conditional expression regarding acurvature radius of an object-side surface and an image plane-sidesurface of the first lens and a conditional expression regarding the twobonded lenses respectively, it is achievable to satisfactorily correct adistortion and a chromatic aberration. Patent Reference: Japanese PatentApplication Publication No. 2011-145315

According to the imaging lens of Patent Reference, however, since adistance from an object-side surface of the first lens to an image planeof an imaging element is long, for mounting the imaging lens in asmall-sized camera such as a cellular phone and a smartphone, it isnecessary to dispose a prism or a mirror between the imaging lens andthe image plane so as to bend a light path. High functionality anddownsizing of cellular phones and smartphones are advanced every year,and the level of downsizing required for the imaging lens is even higherthan before. With the lens configuration described in Patent Reference,it is difficult to attain satisfactory aberration correction whileattaining downsizing of the imaging lens so as to meet theaforementioned demands.

Here, such an issue is not a problem specific to the imaging lens to bemounted in a cellular phones and smartphones, and rather, it is a commonproblem even for an imaging lens to be mounted in a relatively smallcamera such as digital still cameras, portable information terminals,security cameras, onboard cameras, and network cameras.

An object of the present invention is to provide an imaging lens thatcan satisfactorily correct aberrations. A further object of the presentinvention is to provide an imaging lens that can attain both downsizingof the imaging lens and satisfactory aberration correction.

Further objects and advantages of the present invention will be apparentfrom the following description of the present invention.

SUMMARY OF THE INVENTION

In order to attain the objects described above, according to a firstaspect of the present invention, an imaging lens includes a first lensthat has positive refractive power; a second lens that has negativerefractive power; a third lens that has positive refractive power; afourth lens that has negative refractive power; a fifth lens that haspositive refractive power; and a sixth lens that has negative refractivepower, arranged in the order from the object side to the image planeside. The first lens has an object side surface that has a positivecurvature radius. The second lens has an object side surface and animage plane-side surface, both of which have positive curvature radii.The third lens has an object-side surface that has positive curvatureradius and an image plane-side surface that has negative curvatureradius. The fifth lens has an aspheric object-side surface having aninflexion point. The sixth lens has an aspheric image plane-side surfacehaving an inflexion point. In addition, each of the first through thefourth lenses has weaker refractive power than each refractive power ofthe fifth and the sixth lenses.

According to the first aspect of the present invention, in the imaginglens, the fifth lens and the sixth lens are formed so as to havestronger refractive power than any other lenses, an object-side surfaceof the fifth lens is formed as an aspheric surface having an inflexionpoint, and an image plane-side surface of the sixth lens is formed as anaspheric shape having an inflexion point. For this reason, the fifthlens has positive refractive power near an optical axis, and hasnegative refractive power at the periphery. On the other hand, the sixthlens has negative refractive power near the optical axis and positiverefractive power at the periphery. With this configuration, it ispossible to satisfactorily correct a chromatic aberration near theoptical axis and a spherical aberration, and also satisfactorily correctan off-axis chromatic aberration of magnification and a coma aberration.Here, since the arrangement of refractive powers of the first lens, thesecond lens, and the third lens is positive-negative-positive, the lensconfiguration of the imaging lens of the present invention is alsoadvantageous for downsizing of the imaging lens while satisfactorilycorrecting aberrations.

According to a second aspect of the present invention, in the imaginglens having the above-described configuration, the fourth lens may bepreferably formed in a shape such that curvature radii of theobject-side surface thereof and the image plane-side surface thereof areboth negative.

In addition, in the imaging lens having the above-describedconfiguration, the fifth lens may be preferably formed in a shape suchthat a curvature radius of the object-side surface thereof is positiveand a curvature radius of the image plane-side surface thereof isnegative, and the sixth lens may be preferably formed in a shape suchthat a curvature radius of the object-side surface is negative and acurvature radius of the object-side surface thereof is positive.

According to a third aspect of the present invention, when the firstlens has a focal length f1 and the second lens has a focal length f2,the imaging lens having the above-described configuration preferablysatisfies the following conditional expression (1):

−1.5<f1/f2<−0.4   (1)

When the imaging lens satisfies the conditional expression (1), it ispossible to satisfactorily correct a chromatic aberration andastigmatism and restrain a field curvature within a preferred range,while attaining downsizing of the imaging lens. When the value exceedsthe upper limit of “−0.4”, since the negative refractive power of thesecond lens is weak relative to positive refractive power of the firstlens, it is advantageous for downsizing of the imaging lens. However, anaxial chromatic aberration is insufficiently corrected (a focal positionat a short wavelength moves to the object side relative to a focalposition at a reference wavelength) and astigmatism increases, it isdifficult to obtain satisfactory image-forming performance. Moreover,since periphery of an image-forming surface curves to the object side,it is difficult to restrain the field curvature within satisfactoryrange. On the other hand, when the value is below the lower limit of“−1.5”, since the second lens has strong refractive power relative tothe first lens, a position of an exit pupil moves to the object side andit is difficult to attain downsizing of the imaging lens. Furthermore,an axial chromatic aberration is excessively corrected (a focal positionat a short wavelength moves to the image plane side relative to a focalposition at a reference wavelength) and an off-axis chromatic aberrationof magnification is excessively corrected (an image-forming point at ashort wavelength moves in a direction to be away from the optical axisrelative to an image-forming point at a reference wavelength). Inaddition, since astigmatism increases, also in this case, it isdifficult to obtain satisfactory image-forming performance.

According to a fourth aspect of the present invention, when the wholelens system has a focal length f and the third lens has a focal lengthf3, the imaging lens having the above-described configuration preferablysatisfies the following conditional expression (2):

0.5<f3/f<2.0   (2)

When the imaging lens satisfies the conditional expression (2), it ispossible to satisfactorily correct astigmatism and restrain the fieldcurvature within a satisfactory range while attaining downsizing of theimaging lens. When the value exceeds the upper limit of “2.0”, since thethird lens has weak refractive power relative to the refractive power ofthe whole lens system, periphery of the image-forming surface curves tothe image plane side and it is difficult to restrain the field curvaturewithin the satisfactory range. In addition, it is difficult to attaindownsizing of the imaging lens. On the other hand, when the value isbelow the lower limit of “0.5”, the third lens has strong refractivepower relative to the refractive power of the whole lens system,astigmatic difference increases and it is difficult to obtainsatisfactory image-forming performance.

According to a fifth aspect of the present invention, when the curvatureradius of the object-side surface of the second lens is R2 f and thecurvature radius of the image plane-side surface of the second lens isR2 r, the imaging lens having the above-described configurationpreferably satisfies the following conditional expression (3):

0.4<R2r/R2f<0.8   (3)

When the imaging lens satisfies the conditional expression (3), it ispossible to restrain the coma aberration, chromatic aberration, and thefield curvature within preferred ranges in a balanced manner whileattaining downsizing of the imaging lens. When the value exceeds theupper limit of “0.8”, since the second lens has weak refractive power,although it is advantageous for downsizing of the imaging lens, theaxial chromatic aberration is insufficiently corrected and an inner comaaberration occurs, so that it is difficult to obtain satisfactoryimage-forming performance. On the other hand, when the value is belowthe lower limit of “0.4”, since a position of an exit pupil moves to theobject side, although it is easy to restrain an incident angle of alight beam emitted from the imaging lens to an imaging element within arange that is set in advance, it is difficult to attain downsizing ofthe imaging lens. Moreover, since the axial chromatic aberration isexcessively corrected and periphery of the image-forming surface curvesto the image plane side, it is difficult to obtain satisfactoryimage-forming performance.

According to a sixth aspect of the present invention, when the wholelens system has the focal length f and the fourth lens has a focallength f4, the imaging lens having the above-described configurationpreferably satisfies the following conditional expression (4):

−5.0<f4/f<−1.0   (4)

When the imaging lens satisfies the conditional expression (4), it ispossible to restrain the field curvature and the astigmatism withinpreferred ranges, while securing a back focal length. In many cases, aninsert such as an infrared cut-off filter and a cover glass is disposedbetween the imaging lens and an image plane of an imaging element, sothat it is necessary to have space to dispose such insert. When thevalue exceeds the upper limit of “−1.0”, although it is easy to secure aback focal length, since periphery of the image-forming surface curvesto the image plane side, it is difficult to obtain satisfactoryimage-forming performance. On the other hand, when the value is belowthe lower limit of “−5.0”, the axial chromatic aberration isinsufficiently corrected and the off-axis chromatic aberration ofmagnification is insufficiently corrected (the image-forming point at ashort wavelength moves in a direction to be close to the optical axisrelative to the image-forming point at a reference wavelength), so thatit is difficult to obtain satisfactory image-forming performance. Inaddition, since periphery of the image-forming surface curves to theobject side, it is difficult to restrain the field curvature within thepreferred range.

According to a seventh aspect of the present invention, when the fifthlens has a focal length f5 and the sixth lens has a focal length f6, theimaging lens having the above-described configuration preferablysatisfies the following conditional expression (5):

−2.0<f5/f6<−0.5   (5)

When the imaging lens satisfies the conditional expression (5), it ispossible to satisfactorily correct the field curvature and the chromaticaberration, while attaining downsizing of the imaging lens. As describedabove, according to the imaging lens of the present invention, the fifthlens has positive refractive power and the sixth lens has negativerefractive power. When the value exceeds the upper limit of “−0.5”,since the positive refractive power of the fifth lens is strong relativeto the negative refractive power of the sixth lens, a position of theexit pupil moves to the object side and it is difficult to attaindownsizing of the imaging lens. In addition, since periphery of theimage-forming surface curves to the image plane side, it is difficult toobtain satisfactory image-forming performance. On the other hand, whenthe value is below the lower limit of “−2.0”, the positive refractivepower of the fifth lens is weak relative to the negative refractivepower of the sixth lens, the position of the exit pupil moves to theimage plane side, which is advantageous for downsizing of the imaginglens, but both the axial chromatic aberration and the off-axis chromaticaberration of magnification are insufficiently corrected, and it isdifficult to obtain satisfactory image-forming performance. Furthermore,since periphery of the image-forming surface curves to the object side,it is difficult to restrain the field curvature within the satisfactoryrange.

According to an eighth aspect of the present invention, when the firstlens has Abbe's number vd1, the third lens has Abbe's number vd3, thefifth lens has Abbe's number vd5, and the sixth lens has Abbe's numbervd6, the imaging lens having the above-described configurationpreferably satisfies the following conditional expressions (6) through(9):

45<vd1<75   (6)

45<vd3<75   (7)

45<vd5<75   (8)

45<vd6<75   (9)

When the imaging lens satisfies the conditional expressions (6) through(9), it is possible to satisfactorily correct the axial and the off-axischromatic aberrations. Setting the Abbe's numbers of four lenses amongthe six lenses larger than the lower limit of “45”, it is possible toeffectively restrain the chromatic aberrations occurred in those fourlenses, so that it is possible to suitably restrain the chromaticaberration of the whole lens system within a satisfactory range. Inaddition, setting Abbe's number of each lens smaller than the upperlimit of “75”, it is possible to restrain the cost of lens materials.

According to a ninth aspect of the present invention, in order to moresatisfactorily correct the axial and the off-axis chromatic aberrations,when the second lens has the Abbe's number vd2 and the fourth lens hasthe Abbe's number vd4, the imaging lens having the above-describedconfiguration preferably satisfies the following conditional expressions(10) and (11):

20<vd2<40   (10)

20<vd4<40   (11)

According to the imaging lens of the present invention, it is possibleto provide an imaging lens with satisfactorily corrected aberrations. Inaddition, it is possible to provide a small-sized imaging lensespecially suitable for mounting in a small-sized camera, while havinghigh resolution with satisfactorily corrected aberrations.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 1 according to an embodiment of thepresent invention;

FIG. 2 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 1;

FIG. 3 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 1;

FIG. 4 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 2 according to the embodiment of thepresent invention;

FIG. 5 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 4;

FIG. 6 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 4;

FIG. 7 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 3 according to the embodiment of thepresent invention;

FIG. 8 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 7;

FIG. 9 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 7;

FIG. 10 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 4 according to the embodiment ofthe present invention;

FIG. 11 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 10;

FIG. 12 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 10;

FIG. 13 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 5 according to the embodiment ofthe present invention;

FIG. 14 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 13;

FIG. 15 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 13

FIG. 16 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 6 according to the embodiment ofthe present invention;

FIG. 17 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 16;

FIG. 18 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 16;

FIG. 19 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 7 according to the embodiment ofthe present invention;

FIG. 20 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 19;

FIG. 21 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 19;

FIG. 22 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 8 according to the embodiment ofthe present invention;

FIG. 23 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 22; and

FIG. 24 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 22.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

Hereunder, referring to the accompanying drawings, embodiments of thepresent invention will be fully described.

FIGS. 1, 4, 7, 10, 13, 16, 19 and 22 are schematic sectional views ofimaging lenses in Numerical Data Examples 1 to 8 according to theembodiment, respectively. Since a basic lens configuration is the sameamong those Numerical Data Examples, the lens configuration of theembodiment will be described with reference to the illustrativesectional view of Numerical Data Example 1.

As shown in FIG. 1, the imaging lens of the embodiment includes a firstlens L1 having positive refractive power; a second lens L2 havingnegative refractive power; a third lens L3 having positive refractivepower; a fourth lens L4 having negative refractive power; a fifth lensL5 having positive refractive power; and a sixth lens having negativerefractive power, arranged in the order from an object side to an imageplane side. There may be disposed a filter 10 between the sixth lens L6and an image plane IM. The filter 10 can be also optionally omitted.

According to the imaging lens of the embodiment, the refractive power ofeach lens from the first lens L1 to the fourth lens L4 is set weakerthan that of each lens from the fifth lens L5 and the sixth lens L6. Inshort, when the first lens L1 has a focal length f1, the second lens L2has a focal length f2, the third lens L3 has a focal length f3, thefourth lens L4 has a focal length f4, the fifth lens L5 has a focallength f5, and the sixth lens L6 has a focal length f6, the imaging lensof the embodiment satisfies the relationship, “(f1, |f2|, f3, |f4|)>(f5,|f6|).

In addition, as shown in FIG. 1, an aperture stop ST is disposed betweenthe first lens L1 and the second lens L2. According to the imaging lensof the embodiment, the position of the aperture stop ST is not limited.The imaging lenses of Numerical Data Examples 1 through 5 are examples,in which the aperture stop ST is disposed between the first lens L1 andthe second lens L2, an example of so-called “mid aperture”-type lensconfiguration. On the other hand, the imaging lenses of Numerical DataExamples 6 through 8 are examples, in which the aperture stop ST isdisposed on the object side of the first lens L1, an example ofso-called “front aperture”-type lens configuration. According to the midaperture-type lens configuration, since an effective diameter of thefirst lens L1 is long in comparison with the total optical length of theimaging lens, the presence of the imaging lens in the camera isemphasized, and it is possible to appeal to user's luxuriousness, highlens performances, etc. as a part of the camera design. On the otherhand, in case of the front aperture-type lens configuration, it ispossible to attain improvement of assembling performance of the imaginglens and reduction of manufacturing cost. Since the front aperture-typelens configuration also has a characteristic of being relatively easy toshorten the total optical length of the imaging lens, it is also aneffective lens configuration for mounting in portable devices, such ascellular phones, smartphones that have been popular recently, etc.

According to the imaging lens having the above-described configuration,the first lens L1 is formed in a shape such that a curvature radius r1of an object-side surface thereof is positive and a curvature radius r2of an image plane-side surface is negative, so as to have a shape of abiconvex lens near an optical axis X. The shape of the first lens L1 isnot limited to the one in Numerical Data Example 1. The shape of thefirst lens L1 can be any as long as the curvature radius r1 of theobject-side surface thereof is positive, and can be a shape, in whichthe curvature radius r2 of the image plane-side surface is positive,i.e. a shape of a meniscus lens directing a convex surface thereof tothe object side near the optical axis X.

The second lens L2 is formed in a shape such that a curvature radius r4of an object-side surface thereof and a curvature radius r5 of an imageplane-side surface thereof are both positive, and is formed as a shapeof a meniscus lens directing a convex surface thereof to the object sidenear the optical axis X.

The third lens L3 is formed in a shape such that a curvature radius r6of an object-side surface thereof is positive and a curvature radius r7of an image plane-side surface is negative, and is formed as a shape ofa biconvex lens near the optical axis X.

The fourth lens L4 is formed in a shape such that a curvature radius r8of an object-side surface thereof and a curvature radius r9 of an imageplane-side surface thereof are both negative, and is formed as a shapeof a meniscus lens directing a concave surface thereof to the objectside near the optical axis X. In addition to the shape, the shape of thefourth lens L4 can be a shape of meniscus lens directing a convexsurface thereof to the object side near the optical axis X, or can be ashape of a biconcave lens near the optical axis X. The fourth lens L4can be formed in various shapes as long as the refractive power isnegative.

The fifth lens L5 is formed in a shape such that a curvature radius r10of an object-side surface thereof is positive and a curvature radius r11of an image plane-side surface thereof is negative, and is formed as ashape of a biconvex lens near the optical axis X. Among them, theobject-side surface thereof is formed as an aspheric shape having aninflexion point. More specifically, the object-side surface of the fifthlens L5 is formed as an aspheric shape, so as to have positiverefractive power near the optical axis X and have negative refractivepower from near a position, where the ratio H of each image height tothe maximum image height (hereinafter referred to as “image height ratioH”) is 0.7, to periphery.

The sixth lens L6 is formed in a shape such that a curvature radius r12of an object-side surface thereof is negative and a curvature radius r13of an image plane-side surface thereof is positive, and is formed as ashape of a biconcave lens near the optical axis X. Among them, the imageplane-side surface thereof is formed as an aspheric shape having aninflexion point. More specifically, the image plane-side surface of thesixth lens L6 is formed as an aspheric shape, so as to have negativerefractive power near the optical axis X and have positive refractivepower from near a position, where the image height ratio H is 0.7, tothe periphery.

As described above, the fifth lens L5 and the sixth lens L6 have strongrefractive powers relative to other lenses. Providing an inflexion pointon the object-side surface of the fifth lens L5 and the image plane-sidesurface of the sixth lens L6 respectively, it is possible tosatisfactorily correct a chromatic aberration near the optical axis anda spherical aberration, and also satisfactorily correct a comaaberration of an off-axis light flux and a chromatic aberration ofmagnification.

In addition, with those shapes of the fifth lens L5 and the sixth lensL6, it is possible to easily secure telecentric properties. As wellknown, an imaging element has a chief ray angle set in advance by itsstructure as a range of an incident angle of a light beam that can betaken in a sensor. According to the imaging lens of the embodiment,since the incident angle of a light beam emitted from the imaging lensto the image plane IM is restrained smaller than a chief ray angle, itis possible to suitably restrain generation of so-called shadingphenomenon, a phenomenon of getting dark periphery in an image takenrelative to the center part.

The imaging lens of the embodiment satisfies the following conditionalexpressions (1) to (11):

−1.5<f1/f2<−0.4   (1)

0.5<f3/f<2.0   (2)

0.4<R2r/R2f<0.8   (3)

−5.0<f4/f<−1.0   (4)

−2.0<f5/f6<−0.5   (5)

45<vd1<75   (6)

45<vd3<75   (7)

45<vd5<75   (8)

45<vd6<75   (9)

20<vd2<40   (10)

20<vd4<40   (11)

In the above conditional expressions:

-   f: Focal length of the whole lens system-   f1: Focal length of a first lens L1-   f2: Focal length of a second lens L2-   f3: Focal length of a third lens L3-   f4: Focal length of a fourth lens L4-   f5 Focal length of a fifth lens L5-   f6: Focal length of a sixth lens L6-   R2 f: Curvature radius of an object-side surface of the second lens    L2-   R2 r: Curvature radius of an image plane-side surface of the second    lens L2-   vd1: Abbe's number of the first lens L1-   vd2: Abbe's number of the second lens L2-   vd3: Abbe's number of the third lens L3-   vd4: Abbe's number of the fourth lens L4-   vd5: Abbe's number of the fifth lens L5-   vd6: Abbe's number of the sixth lens L6

Here, it is not necessary to satisfy all of the conditional expressions,and it is achievable to obtain an effect corresponding to the respectiveconditional expression when any single one of the conditionalexpressions is individually satisfied.

In the embodiment, all lens surfaces of the first lens L1 to the thirdlens L3 are formed as an aspheric surface. When the aspheric surfacesapplied to the lens surfaces have an axis Z in a direction of theoptical axis X, a height H in a direction perpendicular to the opticalaxis X, a conical coefficient k, and aspheric coefficients A₄, A₆, A₈,A₁₀, A₁₂, A₁₄, and A₁₆, a shape of the aspheric surfaces of the lenssurfaces is expressed as follows:

$\begin{matrix}{Z = {{\frac{\frac{H^{2}}{R}}{1 + \sqrt{1 - {\left( {k + 1} \right)\frac{H^{2}}{R^{2}}}}}A_{4}H^{4}} + {A_{6}H^{6}} + {A_{8}H^{8}} + {A_{10}H^{10}} + {A_{12}H^{12}} + {A_{14}H^{14}} + {A_{16}H^{16}}}} & \left\lbrack {{Formula}\mspace{14mu} 1} \right\rbrack\end{matrix}$

Next, Numerical Data Examples of the imaging lens of the embodiment willbe described. In each Numerical Data Example, f represents a focallength of the whole lens system, Fno represents an F number, and ωrepresents a half angle of view, respectively. In addition, i representsa surface number counted from the object side, r represents a curvatureradius, d represents a distance between lens surfaces (surface spacing)on the optical axis, nd represents a refractive index, and vd representsAbbe's number, respectively. Here, aspheric surfaces are indicated withsurface numbers i affixed with * (asterisk).

NUMERICAL DATA EXAMPLE 1

Basic lens data are shown below.

-   f=4.44 mm, Fno=2.3, ω=32.7°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1* 2.298 0.589 1.5350 56.1(=νd1)  2* −5.767 −0.025  3 (Stop) ∞ 0.060  4* 2.077 0.305 1.6355 24.0(=R2f) (=νd2)  5* 1.279 0.292 (=R2r)  6* 20.522 0.606 1.5350 56.1 (=νd3) 7* −5.480 0.459  8* −1.245 0.320 1.6142 26.0 (=νd4)  9* −1.904 0.02410* 7.260 0.549 1.5350 56.1 (=νd5) 11* −1.667 0.134 12* −3.323 0.5501.5350 56.1 (=νd6) 13* 1.783 0.300 14 ∞ 0.300 1.5168 64.2 15 ∞ 0.669(Image ∞ plane)

-   f1=3.14 mm-   f2=−6.10 mm-   f3=8.12 mm-   f4=−7.12 mm-   f5=2.58 mm-   f6=−2.08 mm

Aspheric Surface Data First Surface

k=−3.633E-01, A₄=−5.934E-03, A₆=8.824E-03, A₈=−3.227E-02, A₁₀=2.020E-02,A₁₂=2.503E-03, A₁₄=−8.051E-03

Second Surface

k=−9.392E+01, A₄=−3.476E-03, A₆=−1.218E-02, A₈=3.560E-02,A₁₀=−4.848E-02, A₁₂=8.882E-03, A₁₄=3.214E-03

Fourth Surface

k=−9.984, A₄=1.580E-02, A₆=−2.296E-02, A₈=4.445E-02, A₁₀=−7.259E-02,A₁₂=7.597E-03, A₁₄=7.588E-03, A₁₆=−2.978E-03

Fifth Surface

k=−4.848, A₄=3.950E-02, A₆=−1.582E-02, A₈=−2.002E-02, A₁₀=−7.693E-03,A₁₂=5.643E-04, A₁₄=1.799E-03, A₁₆=1.562E-03

Sixth Surface

k=−8.770E+01, A₄=1.080E-02, A₆=1.625E-02, A₈=−3.411E-03, A₁₀=3.710E-02,A₁₂=−1.279E-02, A₁₄=2.855E-03, A₁₆=1.869E-03

Seventh Surface

k=−5.087, A₄=−2.262E-02, A₆=1.277E-02, A₈=−7.512E-02, A₁₀=5.033E-02,A₁₂=−6.250E-03, A₁₄=−1.887E-03, A₁₆=−1.276E-03

Eighth Surface

k=3.943E-01, A₄=2.364E-01, A₆=−1.608E-01, A₈=1.211E-01, A₁₀=−2.761E-02,A₁₂=5.954E-03, A₁₄=7.095E-03

Ninth Surface

k=−7.050E-01, A₄=−4.347E-02, A₆=4.604E-02, A₈=5.966E-03, A₁₀=−9.041E-04,A₁₂=−3.640E-03

Tenth Surface

k=−3.949E+01, A₄=−1.336E-01, A₆=4.439E-02, A₈=−1.182E-02,A₁₀=−2.409E-03, A₁₂=−1.966E-03

Eleventh Surface

k=−1.373E+01, A₄=3.197E-02, A₆=−1.606E-02, A₈=−2.189E-03, A₁₀=4.846E-04,A₁₂=1.757E-04

Twelfth Surface

k=−3.655, A₄=2.248E-03, A₆=3.961E-03, A₈=9.349E-05, A₁₀=−4.493E-05,A₁₂=−4.198E-05, A₁₄=4.665E-07, A₁₆=1.121E-06

Thirteenth Surface

k=−2.377E+01, A₄=−4.720E-02, A₆=5.582E-03, A₈=−6.809E-04, A₁₀=8.354E-06,A₁₂=7.206E-06, A₁₄=5.563E-07, A₁₆=−3.472E-07

The values of the respective conditional expressions are as follows:

f1/f2=−0.52

f3/f=1.83

R2r/R2f=0.62

f4/f=−1.60

f5/f6=−1.24

Accordingly, the imaging lens of Numerical Data Example 1 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 5.03 mm, and downsizing of the imaginglens is attained.

FIG. 2 shows a lateral aberration that corresponds to the image heightratio H of, which is divided into a tangential direction and a sagittaldirection (which is the same in FIGS. 5, 8, 11, 14, 17, 20 and 23), inthe imaging lens of Numerical Data Example 1. Furthermore, FIG. 3 showsa spherical aberration (mm), astigmatism (mm), and a distortion (%),respectively, in the imaging lens of Numerical Data Example 1. In theaberration diagrams, for the lateral aberration diagrams and sphericalaberration diagrams, aberrations at each wavelength, i.e. a g line(435.84 nm), an e line (546.07 nm), and a C line (656.27 nm) areindicated. In astigmatism diagram, an aberration on a sagittal imagesurface S and an aberration on a tangential image surface T arerespectively indicated (which are the same in FIGS. 6, 9, 12, 15, 18,21, and 24). As shown in FIGS. 2 and 3, according to the imaging lens ofNumerical Data Example 1, the aberrations are satisfactorily corrected.

NUMERICAL DATA EXAMPLE 2

Basic lens data are shown below.

-   f=4.13 mm, Fno=2.1, ω=34.6°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1* 2.442 0.565 1.5350 56.1(=νd1)  2* −5.109 −0.025  3 (Stop) ∞ 0.063  4* 2.787 0.339 1.6355 24.0(=R2f) (=νd2)  5* 1.205 0.221 (=R2r)  6* 4.063 0.606 1.5350 56.1 (=νd3) 7* −4.223 0.493  8* −1.252 0.347 1.6142 26.0 (=νd4)  9* −1.864 0.02510* 4.269 0.514 1.5350 56.1 (=νd5) 11* −1.899 0.124 12* −3.182 0.4151.5350 56.1 (=νd6) 13* 1.945 0.300 14 ∞ 0.300 1.5168 64.2 15 ∞ 0.815(Image ∞ plane)

-   f1=3.16 mm-   f2=−3.61 mm-   f3=3.96 mm-   f4=−7.87 mm-   f5=2.52 mm-   f6=−2.19 mm

Aspheric Surface Data First Surface

k=−5.302E-01, A₄=−8.012E-03, A₆=1.071E-02, A₈=−3.000E-02, A₁₀=2.012E-02,A₁₂=2.364E-03, A₁₄=−6.570E-03

Second Surface

k=−1.721E+02, A₄=1.874E-02, A₆=−7.611E-03, A₈=3.263E-02, A₁₀=−4.966E-02,A₁₂=1.001E-02, A₁₄=2.580E-03

Fourth Surface

k=−1.194E+01, A₄=9.143E-03, A₆=−2.174E-02, A₈=5.124E-02, A₁₀=−6.783E-02,A₁₂=7.778E-03, A₁₄=4.338E-03, A₁₆=−8.002E-03

Fifth Surface

k=−5.216, A₄=4.034E-02, A₆=−1.310E-02, A₈=−1.655E-02, A₁₀=−3.910E-03,A₁₂=2.559E-03, A₁₄=−5.434E-04, A₁₆=−7.361E-03

Sixth Surface

k=−1.295E+01, A₄=1.180E-02, A₆=1.303E-02, A₈=−6.147E-03, A₁₀=3.480E-02,A₁₂=−1.493E-02, A₁₄=9.846E-04, A₁₆=6.733E-04

Seventh Surface

k=−3.238, A₄=−2.248E-02, A₆=1.301E-02, A₈=−7.431E-02, A₁₀=5.050E-02,A₁₂=−6.288E-03, A₁₄=−1.521E-03, A₁₆=−1.611E-04

Eighth Surface

k=3.974E-01, A₄=2.419E-01, A₆=−1.564E-01, A₈=1.215E-01, A₁₀=−3.064E-02,A₁₂=−7.119E-04, A₁₄=4.073E-03

Ninth Surface

k=−4.369E-01, A₄=−4.915E-02, A₆=4.233E-02, A₈=2.514E-03, A₁₀=−3.558E-03,A₁₂=−5.412E-03

Tenth Surface

k=−1.742E+01, A₄=−1.407E-01, A₆=3.999E-02, A₈=−1.075E-02,A₁₀=−1.509E-03, A₁₂=−1.967E-03

Eleventh Surface

k=−2.047E+01, A₄=3.303E-02, A₆=−1.626E-02, A₈=−2.318E-03, A₁₀=4.436E-04,A₁₂=1.642E-04

Twelfth Surface

k=−3.169, A₄=1.486E-03, A₆=3.863E-03, A₈=9.200E-05, A₁₀=−4.057E-05,A₁₂=−3.995E-05, A₁₄=1.148E-06, A₁₆=1.324E-06

Thirteenth Surface

k=−2.044E+01, A₄=−4.467E-02, A₆=5.836E-03, A₈=−6.978E-04, A₁₀=8.093E-06,A₁₂=8.086E-06, A₁₄=8.094E-07, A₁₆=−2.979E-07

The values of the respective conditional expressions are as follows:

f1/f2=−0.88

f3/f=0.96

R2r/R2f=0.43

f4/f=−1.90

f5/f6=−1.15

Accordingly, the imaging lens of Numerical Data Example 2 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 5.00 mm, and downsizing of the imaginglens is attained.

FIG. 5 shows the lateral aberration that corresponds to the image heightratio H of the imaging lens of Numerical Data Example 2, and FIG. 6shows a spherical aberration (mm), astigmatism (mm), and a distortion(%), respectively. As shown in FIGS. 5 and 6, according to the imaginglens of Numerical Data Example 2, the aberrations are alsosatisfactorily corrected.

NUMERICAL DATA EXAMPLE 3

Basic lens data are shown below.

-   f=4.40 mm, Fno=2.5, ω=33.0°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1* 3.116 0.551 1.5350 56.1(=νd1)  2* −7.599 −0.025  3 (Stop) ∞ 0.160  4* 2.390 0.354 1.6355 24.0(=R2f) (=νd2)  5* 1.004 0.156 (=R2r)  6* 1.789 0.619 1.5350 56.1 (=νd3) 7* −8.278 0.551  8* −1.271 0.402 1.6142 26.0 (=νd4)  9* −1.843 0.02310* 3.656 0.492 1.5350 56.1 (=νd5) 11* −1.991 0.161 12* −3.502 0.3491.5350 56.1 (=νd6) 13* 1.956 0.300 14 ∞ 0.300 1.5168 64.2 15 ∞ 1.107(Image ∞ plane)

-   f1=4.19 mm-   f2=−3.00 mm-   f3=2.80 mm-   f4=−9.03 mm-   f5=2.48 mm-   f6=−2.29 mm

Aspheric Surface Data First Surface

k=−1.565E-01, A₄=−6.190E-03, A₆=1.204E-02, A₈=−3.110E-02, A₁₀=1.757E-02,A₁₂=1.462E-03, A₁₄=−4.370E-03

Second Surface

k=−3.933E+02, A₄=3.189E-02, A₆=−1.100E-02, A₈=2.523E-02, A₁₀=−5.143E-02,A₁₂=1.388E-02, A₁₄=4.468E-03

Fourth Surface

k=−1.407E+01, A₄=1.397E-02, A₆=−1.095E-02, A₈=5.538E-02, A₁₀=−7.193E-02,A₁₂=2.032E-03, A₁₄=3.502E-03, A₁₆=−2.582E-03

Fifth Surface

k=−5.132, A₄=3.611E-02, A₆=−1.233E-02, A₈=−1.242E-02, A₁₀=−2.266E-03,A₁₂=−6.220E-04, A₁₄=−6.606E-03, A₁₆=−1.153E-02

Sixth Surface

k=−7.612, A₄=1.627E-02, A₆=1.227E-02, A₈=−6.782E-03, A₁₀=3.400E-02,A₁₂=−1.660E-02, A₁₄=−1.613E-03, A₁₆=−2.404E-03

Seventh Surface

k=−1.988E+01, A₄=−1.612E-02, A₆=1.547E-02, A₈=−7.175E-02, A₁₀=5.162E-02,A₁₂=−6.116E-03, A₁₄=−1.470E-03, A₁₆=2.681E-04

Eighth Surface

k=3.845E-01, A₄=2.391E-01, A₆=−1.544E-01, A₈=1.264E-01, A₁₀=−2.749E-02,A₁₂=−5.408E-03, A₁₄=−5.930E-03

Ninth Surface

k=−4.583E-01, A₄=−4.857E-02, A₆=4.264E-02, A₈=2.085E-03, A₁₀=−4.194E-03,A₁₂=−5.846E-03

Tenth Surface

k=−7.810, A₄=−1.355E-01, A₆=3.890E-02, A₈=−1.125E-02, A₁₀=−1.195E-03,A₁₂=−1.604E-03

Eleventh Surface

k=−2.485E+01, A₄=3.149E-02, A₆=−1.625E-02, A₈=−2.313E-03, A₁₀=4.426E-04,A₁₂=1.640E-04

Twelfth Surface

k=−3.227, A₄=1.364E-03, A₆=3.790E-03, A₈=8.474E-05, A₁₀=−3.919E-05,A₁₂=−3.888E-05, A₁₄=1.597E-06, A₁₆=1.480E-06

Thirteenth Surface

k=−2.078E+01, A₄=−4.456E-02, A₆=6.050E-03, A₈=−6.680E-04, A₁₀=1.251E-05,A₁₂=8.848E-06, A₁₄=9.305E-07, A₁₆=−2.851E-07

The values of the respective conditional expressions are as follows:

f1/f2=−1.40

f3/f=0.64

R2r/R2f=0.42

f4/f=−2.05

f5/f6=−1.08

Accordingly, the imaging lens of Numerical Data Example 3 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 5.04 mm, and downsizing of the imaginglens is attained.

FIG. 8 shows the lateral aberration that corresponds to the image heightratio H of the imaging lens of Numerical Data Example 3 and FIG. 9 showsa spherical aberration (mm), astigmatism (mm), and a distortion (%),respectively. As shown in FIGS. 8 and 9, according to the imaging lensof Numerical Data Example 3, the aberrations are satisfactorilycorrected.

NUMERICAL DATA EXAMPLE 4

Basic lens data are shown below.

-   f=4.04 mm, Fno=2.2, ω=34.3°

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1* 2.199 0.779 1.5350 56.1(=νd1)  2* −6.189 −0.025  3 (Stop) ∞ 0.050  4* 2.689 0.320 1.6355 24.0(=R2f) (=νd2)  5* 1.262 0.299 (=R2r)  6* 5.128 0.511 1.5350 56.1 (=νd3) 7* −8.502 0.335  8* −1.242 0.320 1.6142 26.0 (=νd4)  9* −2.587 0.02510* 3.890 0.525 1.5350 56.1 (=νd5) 11* −2.019 0.405 12* −11.016 0.5961.5350 56.1 (=νd6) 13* 2.423 0.300 14 ∞ 0.300 1.5168 64.2 15 ∞ 0.547(Image ∞ plane)

-   f1=3.12 mm-   f2=−4.06 mm-   f3=6.04 mm-   f4=−4.24 mm-   f5=2.56 mm-   f6=−3.64 mm

Aspheric Surface Data First Surface

k=1.124E-02, A₄=−4.401E-04, A₆=1.420E-02, A₈=−2.080E-02, A₁₀=1.444E-02,A₁₂=−1.066E-03, A₁₄=−2.248E-03

Second Surface

k=−2.482E+02, A₄=4.370E-02, A₆=−1.229E-02, A₈=1.493E-02, A₁₀=−5.074E-02,A₁₂=3.718E-02, A₁₄=−1.202E-02

Fourth Surface

k=−8.863, A₄=−9.672E-04, A₆=1.480E-03, A₈=5.133E-02, A₁₀=−1.195E-01,A₁₂=−9.295E-03, A₁₄=1.252E-01, A₁₆=−7.653E-02

Fifth Surface

k=−5.543, A₄=4.950E-02, A₆=−7.857E-03, A₈=−2.161E-02, A₁₀=−5.836E-04,A₁₂=−2.489E-03, A₁₄=−8.496E-03, A₁₆=−1.298E-03

Sixth Surface

k=−9.334, A₄=−2.684E-02, A₆=−3.815E-03, A₈=−5.982E-03, A₁₀=1.708E-03,A₁₂=−1.119E-02, A₁₄=4.147E-02, A₁₆=−3.250E-02

Seventh Surface

k=−2.928E+01, A₄=−4.035E-02, A₆=−3.454E-03, A₈=−6.219E-02,A₁₀=4.593E-02, A₁₂=−2.243E-03, A₁₄=−1.296E-02, A₁₆=−6.031E-03

Eighth Surface

k=2.439E-01, A₄=2.058E-01, A₆=−9.988E-02, A₈=8.197E-02, A₁₀=1.409E-01,A₁₂=−1.809E-01, A₁₄=6.322E-02

Ninth Surface

k=2.831E-01, A₄=−1.309E-01, A₆=8.644E-02, A₈=7.415E-03, A₁₀=−2.020E-04,A₁₂=−7.082E-03

Tenth Surface

k=−5.245E+01, A₄=−9.165E-02, A₆=3.480E-02, A₈=−2.605E-02,A₁₀=−2.253E-04, A₁₂=−6.047E-05

Eleventh Surface

k=−8.364, A₄=8.440E-02, A₆=−4.622E-02, A₈=−2.391E-04, A₁₀=1.717E-03,A₁₂=2.658E-07

Twelfth Surface

k=3.347, A₄=9.551E-03, A₆=8.061E-05, A₈=1.356E-06, A₁₀=3.115E-05,A₁₂=−6.982E-06, A₁₄=1.049E-08, A₁₆=−1.186E-09

Thirteenth Surface

k=−1.362E+01, A₄=−2.176E-02, A₆=3.296E-03, A₈=−6.541E-04, A₁₀=6.974E-05,A₁₂=1.396E-07, A₁₄=2.866E-08, A₁₆=−7.799E-08

The values of the respective conditional expressions are as follows:

f1/f2=−0.77

f3/f=1.50

R2r/R2f=0.47

f4/f=−1.05

f5/f6=−0.70

Accordingly, the imaging lens of Numerical Data Example 4 satisfies theabove-described conditional expressions. A distance on the optical axisX from the object-side surface of the first lens L1 to the image planeIM (length in air) is 5.18 mm, and downsizing of the imaging lens isattained.

FIG. 11 shows the lateral aberration that corresponds to the imageheight ratio H of the imaging lens of Numerical Data Example 4 and FIG.12 shows a spherical aberration (mm), astigmatism (mm), and a distortion(%), respectively. As shown in FIGS. 11 and 12, according to the imaginglens of Numerical Data Example 4, the aberrations are alsosatisfactorily corrected.

NUMERICAL DATA EXAMPLE 5

Basic lens data are shown below.

-   f=5.11 mm, Fno=2.4, ω=29.2°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1* 2.377 0.676 1.5350 56.1(=νd1)  2* −5.200 −0.025  3 (Stop) ∞ 0.058  4* 2.813 0.331 1.6355 24.0(=R2f) (=νd2)  5* 1.243 0.276 (=R2r)  6* 3.821 0.639 1.5350 56.1 (=νd3) 7* −3.725 0.485  8* −1.298 0.444 1.6142 26.0 (=νd4)  9* −1.703 0.04410* 6.979 0.491 1.5350 56.1 (=νd5) 11* −2.025 0.153 12* −2.228 0.4581.5350 56.1 (=νd6) 13* 1.576 0.300 14 ∞ 0.300 1.5168 64.2 15 ∞ 0.480(Image ∞ plane)

-   f1=3.14 mm-   f2=−3.78 mm-   f3=3.62 mm-   f4=−15.15 mm-   f5=2.98 mm-   f6=−1.65 mm

Aspheric Surface Data First Surface

k=6.361E-01, A₄=−1.556E-02, A₆=9.451E-03, A₈=−2.615E-02, A₁₀=1.806E-02,A₁₂=−2.202E-03, A₁₄=−3.359E-03

Second Surface

k=−1.571E+02, A₄=3.246E-02, A₆=−2.819E-02, A₈=3.412E-02, A₁₀=−4.488E-02,A₁₂=1.625E-02, A₁₄=−6.549E-03

Fourth Surface

k=−1.246E+01, A₄=6.725E-03, A₆=−2.724E-02, A₈=5.080E-02, A₁₀=−6.620E-02,A₁₂=2.141E-03, A₁₄=1.405E-02, A₁₆=−1.678E-02

Fifth Surface

k=−5.543, A₄=4.034E-02, A₆=−1.188E-02, A₈=−1.632E-02, A₁₀=−4.001E-03,A₁₂=4.135E-03, A₁₄=2.756E-03, A₁₆=−1.429E-02

Sixth Surface

k=−9.478, A₄=1.333E-02, A₆=1.557E-02, A₈=−6.051E-03, A₁₀=3.119E-02,A₁₂=−1.604E-02, A₁₄=−1.345E-03, A₁₆=2.909E-05

Seventh Surface

k=−4.724, A₄=−2.092E-02, A₆=1.808E-02, A₈=−6.883E-02, A₁₀=5.291E-02,A₁₂=−6.852E-03, A₁₄=−3.649E-03, A₁₆=−3.191E-03

Eighth Surface

k=3.981E-01, A₄=2.239E-01, A₆=−1.615E-01, A₈=1.293E-01, A₁₀=−2.130E-02,A₁₂=−2.284E-03, A₁₄=−6.718E-03

Ninth Surface

k=−6.381E-01, A₄=−3.614E-02, A₆=4.160E-02, A₈=2.348E-03, A₁₀=−2.639E-03,A₁₂=−4.504E-03

Tenth Surface

k=−1.362E+02, A₄=−1.384E-01, A₆=3.837E-02, A₈=−1.130E-02,A₁₀=−1.896E-03, A₁₂=−1.949E-03

Eleventh Surface

k=−2.204E+01, A₄=3.281E-02, A₆=−1.605E-02, A₈=−2.211E-03, A₁₀=4.763E-04,A₁₂=1.740E-04

Twelfth Surface

k=−3.541, A₄=2.692E-03, A₆=4.027E-03, A₈=1.108E-04, A₁₀=−3.741E-05,A₁₂=−3.847E-05, A₁₄=1.508E-06, A₁₆=1.459E-06

Thirteenth Surface

k=−2.034E+01, A₄=−4.208E-02, A₆=5.939E-03, A₈=−6.706E-04, A₁₀=1.254E-05,A₁₂=8.551E-06, A₁₄=8.188E-07, A₁₆=−3.043E-07

The values of the respective conditional expressions are as follows:

f1/f2=−0.83

f3/f=0.71

R2r/R2f=0.44

f4/f=−2.97

f5/f6=−1.81

Accordingly, the imaging lens of Numerical Data Example 5 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 5.01 mm, and downsizing of the imaginglens is attained.

FIG. 14 shows the lateral aberration that corresponds to the imageheight ratio H of the imaging lens of Numerical Data Example 5 and FIG.15 shows a spherical aberration (mm), astigmatism (mm), and a distortion(%), respectively. As shown in FIGS. 14 and 15, according to the imaginglens of Numerical Data Example 5, the aberrations are satisfactorilycorrected.

As shown in FIGS. 16, 19, and 22, in the imaging lenses of NumericalData Examples 6 to 8, the aperture stop ST is disposed on the objectside of the first lens L1. This aperture stop ST can be disposed on theobject side relative to a vertex tangential plane of the object-sidesurface of the first lens L1. Here, in the imaging lenses of NumericalData Examples 6 to 8, the curvature radius of the object-side surface istaken as the curvature radius r2 and the curvature radius of the imageplane-side surface is taken as the curvature radius r3.

NUMERICAL DATA EXAMPLE 6

Basic lens data are shown below.

-   f=3.47 mm, Fno=2.1, ω=35.7°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1 (Stop) ∞ −0.150  2* 1.9220.589 1.5350 56.1 (=νd1)  3* −13.833 0.042  4* 2.396 0.318 1.6355 24.0(=R2f) (=νd2)  5* 1.331 0.282 (=R2r)  6* 3.827 0.464 1.5350 56.1 (=νd3) 7* −14.190 0.287  8* −1.133 0.337 1.6355 24.0 (=νd4)  9* −1.899 0.02710* 1.932 0.538 1.5350 56.1 (=νd5) 11* −1.746 0.140 12* −2.109 0.4301.5350 56.1 (=νd6) 13* 1.765 0.170 14 ∞ 0.145 1.5168 64.2 15 ∞ 0.685(Image ∞ plane)

-   f1=3.20 mm-   f2=−5.35 mm-   f3=5.68 mm-   f4=−5.34 mm-   f5=1.81 mm-   f6=−1.73 mm

Aspheric Surface Data Second Surface

k=0.000, A₄=−8.372E-04, A₆=3.222E-02, A₈=−3.710E-01, A₁₀=9.753E-01,A₁₂=−1.152, A₁₄=4.579E-01

Third Surface

k=0.000, A₄=−8.737E-02, A₆=2.495E-01, A₈=−5.841E-01, A₁₀=6.647E-01,A₁₂=−5.936E-01, A₁₄=2.383E-01

Fourth Surface

k=−3.591E+01, A₄=−3.104E-02, A₆=4.152E-02, A₈=5.876E-02, A₁₀=−4.794E-01,A₁₂=3.343E-01

Fifth Surface

k=−5.121, A₄=−5.003E-02, A₆=8.329E-02, A₈=−1.184E-02, A₁₀=−2.476E-01,A₁₂=1.674E-01

Sixth Surface

k=0.000, A₄=−1.298E-01, A₆=−6.014E-02, A₈=−4.986E-02, A₁₀=1.150E-01,A₁₂=2.359E-02

Seventh Surface

k=0.000, A₄=−8.535E-02, A₆=9.285E-03, A₈=−3.300E-01, A₁₀=2.329E-01,A₁₂=7.564E-02

Eighth Surface

k=0.000, A₄=4.836E-01, A₆=−3.244E-01, A₈=4.336E-02, A₁₀=1.295E-01,A₁₂=1.734E-02, A₁₄=−2.172E-02

Ninth Surface

k=−1.991E-01, A₄=−3.706E-02, A₆=1.419E-01, A₈=−2.192E-02,A₁₀=−2.743E-02, A₁₂=1.052E-02

Tenth Surface

k=−9.688, A₄=−1.096E-01, A₆=5.499E-02, A₈=−5.287E-02, A₁₀=5.087E-03,A₁₂=3.761E-03, A₁₄=−4.067E-05

Eleventh Surface

k=−1.592E+01, A₄=1.307E-01, A₆=−6.968E-02, A₈=2.086E-03, A₁₀=3.349E-03,A₁₂=5.275E-04, A₁₄=−2.942E-04

Twelfth Surface

k=−9.191, A₄=6.745E-03, A₆=9.064E-03, A₈=−1.192E-03, A₁₀=−5.723E-04,A₁₂=1.291E-05, A₁₄=5.359E-05, A₁₆=−7.482E-06

Thirteenth Surface

k=−1.488E+01, A₄=−5.052E-02, A₆=1.030E-02, A₈=−3.739E-03, A₁₀=9.132E-05,A₁₂=1.210E-04, A₁₄=6.264E-06, A₁₆=−3.257E-06

The values of the respective conditional expressions are as follows:

f1/f2=−0.60

f3/f=1.64

R2r/R2f=0.56

f4/f=−1.54

f5/f6=−1.05

Accordingly, the imaging lens of Numerical Data Example 6 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 4.40 mm, and downsizing of the imaginglens is attained.

FIG. 17 shows the lateral aberration that corresponds to the imageheight ratio H of the imaging lens of Numerical Data Example 6 and FIG.18 shows a spherical aberration (mm), astigmatism (mm), and a distortion(%), respectively. As shown in FIGS. 17 and 18, according to the imaginglens of Numerical Data Example 6, the aberrations are satisfactorilycorrected.

NUMERICAL DATA EXAMPLE 7

Basic lens data are shown below.

-   f=3.56 mm, Fno=2.0, ω=35.0°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1 (Stop) ∞ −0.155  2* 2.0760.544 1.6097 57.7 (= νd1)  3* −15.344 0.054  4* 2.269 0.323 1.6355 24.0(=R2f) (=νd2)  5* 1.180 0.340 (=R2r)  6* 3.444 0.498 1.5350 56.1 (=νd3) 7* −109.703 0.284  8* −1.169 0.320 1.6355 24.0 (=νd4)  9* −1.888 0.03410* 1.917 0.586 1.5350 56.1 (=νd5) 11* −1.425 0.148 12* −1.525 0.3681.5350 56.1 (=νd6) 13* 2.025 0.300 14 ∞ 0.145 1.5168 64.2 15 ∞ 0.574(Image ∞ plane)

-   f1=3.04 mm-   f2=−4.38 mm-   f3=6.25 mm-   f4=−5.85 mm-   f5=1.63 mm-   f6=−1.57 mm

Aspheric Surface Data Second Surface

k=0.000, A₄=1.566E-02, A₆=2.088E-02, A₈=−3.718E-01, A₁₀=9.770E-01,A₁₂=−1.079, A₁₄=4.256E-01

Third Surface

k=0.000, A₄=−3.948E-02, A₆=2.914E-01, A₈=−6.289E-01, A₁₀=7.026E-01,A₁₂=−5.161E-01, A₁₄=1.882E-01

Fourth Surface

k=−2.866E+01, A₄=4.139E-02, A₆=2.968E-02, A₈=6.667E-02, A₁₀=−4.295E-01,A₁₂=6.176E-01, A₁₄=−4.948E-01, A₁₆=2.024E-01

Fifth Surface

k=−3.892, A₄=−4.570E-02, A₆=1.407E-01, A₈=−8.084E-02, A₁₀=1.056E-01,A₁₂=−1.748E-01, A₁₄=−1.205E-02, A₁₆=1.090E-01

Sixth Surface

k=0.000, A₄=−1.483E-01, A₆=−6.069E-03, A₈=−4.182E-02, A₁₀=1.155E-01,A₁₂=2.803E-02, A₁₄=−1.337E-02, A₁₆=−1.763E-02

Seventh Surface

k=0.000, A₄=−8.940E-02, A₆=1.846E-02, A₈=−2.639E-01, A₁₀=1.313E-01,A₁₂=1.293E-01, A₁₄=−2.445E-02, A₁₆=−2.722E-02

Eighth Surface

k=0.000, A₄=4.686E-01, A₆=−3.065E-01, A₈=5.616E-02, A₁₀=8.099E-02,A₁₂=8.334E-03, A₁₄=−1.510E-02

Ninth Surface

k=−3.524E-01, A₄=−1.793E-02, A₆=1.294E-01, A₈=−2.717E-02,A₁₀=−2.416E-02, A₁₂=8.365E-03

Tenth Surface

k=−1.508E+01, A₄=−9.813E-02, A₆=6.558E-02, A₈=−5.815E-02,A₁₀=−1.595E-03, A₁₂=1.065E-02, A₁₄=−3.598E-03

Eleventh Surface

k=−1.585E+01, A₄=1.326E-01, A₆=−6.640E-02, A₈=−4.585E-03, A₁₀=4.563E-03,A₁₂=6.051E-04, A₁₄=−3.576E-04

Twelfth Surface

k=−1.756E+01, A₄=−4.052E-03, A₆=6.890E-03, A₈=1.628E-04, A₁₀=−4.026E-04,A₁₂=−2.141E-05, A₁₄=4.016E-05, A₁₆=−5.913E-06

Thirteenth Surface

k=−1.696E+01, A₄=−6.286E-02, A₆=1.292E-02, A₈=−3.637E-03, A₁₀=7.523E-05,A₁₂=1.650E-04, A₁₄=4.066E-06, A₁₆=−4.436E-06

The values of the respective conditional expressions are as follows:

f1/f2=−0.69

f3/f=1.76

R2r/R2f=0.52

f4/f=−1.64

f5/f6=−1.04

Accordingly, the imaging lens of Numerical Data Example 7 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 4.47 mm, and downsizing of the imaginglens is attained.

FIG. 20 shows the lateral aberration that corresponds to the imageheight ratio H of the imaging lens of Numerical Data 7 and FIG. 21 showsa spherical aberration (mm), astigmatism (mm), and a distortion (%),respectively. As shown in FIGS. 20 and 21, according to the imaging lensof Numerical Data Example 7, the aberrations are satisfactorilycorrected.

NUMERICAL DATA EXAMPLE 8

Basic lens data are shown below.

-   f=3.56 mm, Fno=2.1, ω=35.0°-   Unit: mm

Surface Data

Surface Number i r d nd νd (Object) ∞ ∞  1 (Stop) ∞ −0.130  2* 2.1710.536 1.5350 56.1 (=νd1)  3* −16.716 0.068  4* 2.320 0.324 1.6355 24.0(=R2f) (=νd2)  5* 1.345 0.326 (=R2r)  6* 2.849 0.493 1.5350 56.1 (=νd3) 7* −102.129 0.199  8* −1.110 0.366 1.6355 24.0 [(=4 d4)  9* −1.9710.029 10* 1.932 0.560 1.5350 56.1 (=νd5) 11* −1.937 0.107 12* −3.6340.511 1.5350 56.1 (=νd6) 13* 1.671 0.130 14 ∞ 0.145 1.5168 64.2 15 ∞0.895 (Image ∞ plane)

-   f1=3.63 mm-   f2=−5.79 mm-   f3=5.19 mm-   f4=−4.78 mm-   f5=1.90 mm-   f6=−2.07 mm

Aspheric Surface Data Second Surface

k=0.000, A₄=−7.783E-03, A₆=7.620E-02, A₈=−3.686E-01, A₁₀=8.500E-01,A₁₂=−1.015, A₁₄=4.390E-01

Third Surface

k=0.000, A₄=−5.979E-02, A₆=2.750E-01, A₈=−6.564E-01, A₁₀=6.601E-01,A₁₂=−5.199E-01, A₁₄=2.507E-01

Fourth Surface

k=−2.876E+01, A₄=5.087E-02, A₆=−1.171E-01, A₈=1.793E-01, A₁₀=−5.658E-01,A₁₂=4.080E-01

Fifth Surface

k=−5.319, A₄=−3.335E-02, A₆=1.622E-01, A₈=−3.286E-01, A₁₀=1.376E-01,A₁₂=−7.740E-02, A₁₄=5.504E-02, A₁₆=1.640E-02

Sixth Surface

k=0.000, A₄=−1.151E-01, A₆=3.794E-03, A₈=5.356E-02, A₁₀=−1.007E-01,A₁₂=2.535E-02

Seventh Surface

k=0.000, A₄=−7.498E-02, A₆=7.839E-02, A₈=−2.250E-01, A₁₀=6.004E-02,A₁₂=9.249E-02, A₁₄=5.964E-02, A₁₆=−8.689E-02

Eighth Surface

k=0.000, A₄=4.826E-01, A₆=−1.856E-01, A₈=1.117E-01, A₁₀=3.185E-02,A₁₂=−6.741E-02, A₁₄=4.585E-02

Ninth Surface

k=−1.101, A₄=−3.279E-02, A₆=1.545E-01, A₈=1.219E-03, A₁₀=−3.334E-02,A₁₂=2.019E-03

Tenth Surface

k=−5.408, A₄=−1.433E-01, A₆=9.097E-02, A₈=−6.151E-02, A₁₀=−3.529E-03,A₁₂=4.316E-03, A₁₄=1.057E-03

Eleventh Surface

k=−2.514E+01, A₄=9.315E-02, A₆=−5.986E-02, A₈=−7.744E-03, A₁₀=7.412E-03,A₁₂=−4.403E-04, A₁₄=4.173E-05

Twelfth Surface

k=−5.128E-01, A₄=−2.589E-02, A₆=1.454E-02, A₈=3.123E-03, A₁₀=−1.086E-03,A₁₂=−7.293E-05, A₁₄=4.243E-05, A₁₆=−4.097E-06

Thirteenth Surface

k=−1.625E+01, A₄=−6.236E-02, A₆=1.459E-02, A₈=−3.800E-03, A₁₀=3.424E-04,A₁₂=8.079E-05, A₁₄=−2.832E-05, A₁₆=2.256E-06

The values of the respective conditional expressions are as follows:

f1/f2=−0.63

f3/f=1.46

R2r/R2f=0.58

f4/f=−1.34

f5/f6=−0.92

Accordingly, the imaging lens of Numerical Data Example 8 satisfies theabove-described respective conditional expressions. A distance on theoptical axis X from the object-side surface of the first lens L1 to theimage plane IM (length in air) is 4.64 mm, and downsizing of the imaginglens is attained.

FIG. 23 shows the lateral aberration that corresponds to the imageheight ratio H of the imaging lens of Numerical Data Example 8 and FIG.24 shows a spherical aberration (mm), astigmatism (mm), and a distortion(%), respectively. As shown in FIGS. 23 and 24, according to the imaginglens of Numerical Data Example 8, the aberrations are satisfactorilycorrected.

According to the imaging lens of the embodiment described above, it ispossible to achieve about 70° of an angle of view (2w). For reference,the angles of view of the imaging lenses in Numerical Data Examples 1 to8 are as wide as from 58.4° to 71.4°. According to the imaging lens ofthe embodiment, it is possible to take an image in wider range than aconventional imaging lens.

In addition, in these years, for a purpose of improving cameraperformances, high pixel count imaging element is often combined with animaging lens. In case of such high pixel count imaging element, since alight-receiving area of each pixel is less, an image taken tends to bedark. As a method of correcting this issue, there is a method ofimproving light sensitivity of an imaging element with an electricalcircuit. However, when the light sensitivity increases, a noisecomponent that directly does not contribute to image formation is alsoamplified, so that another circuit to reduce noises is necessary. In theimaging lenses of Numerical Data Examples 1 to 8, Fno is very small, 2.0to 2.5. According to the imaging lens of the embodiment, it is possibleto sufficiently bright image without the above-described electricalcircuit.

Therefore, when the imaging lens of the embodiment is mounted in animaging optical system, which includes built-in cameras of portabledevices such as cellular phones, portable information terminals, andsmartphones, digital still cameras, security cameras, onboard cameras,and network cameras, it is possible to attain both high functionalityand downsizing of the cameras.

The present invention is applicable in an imaging lens for mounting in arelatively small camera such as built-in cameras of portable devicesincluding cellular phones, smartphones, and portable informationterminals, digital still cameras, security cameras, onboard cameras, andnetwork cameras.

The disclosure of Japanese Patent Applications No. 2012-139323, filed onJun. 21, 2012, and No. 2012-245956, filed on Nov. 8, 2012, isincorporated in the application by reference.

While the invention has been explained with reference to the specificembodiments of the invention, the explanation is illustrative and theinvention is limited only by the appended claims.

What is claimed is:
 1. An imaging lens comprising: a stop; a first lens;a second lens; a third lens having positive refractive power; a fourthlens; a fifth lens having positive refractive power; and a sixth lens,arranged in this order from an object side to an image plane side,wherein said fourth lens is formed in a shape so that a surface thereofon the image plane side is convex near an optical axis thereof, saidsixth lens is formed in a shape so that a surface thereof on the imageplane side is concave near an optical axis thereof, and said second lensis formed in a shape so that a surface thereof on the object side has acurvature radius R2 f and a surface thereof on the image plane side hasa curvature radius R2 r so that the following conditional expression issatisfied:0.4<R2r/R2f<0.8.
 2. The imaging lens according to claim 1, wherein saidfirst lens has a focal length f1 and said second lens has a focal lengthf2 so that the following conditional expression is satisfied:−1.5<f1/f2<−0.4.
 3. The imaging lens according to claim 1, wherein saidthird lens has a focal length f3 so that the following conditionalexpression is satisfied:0.5<f3/f<2.0, where f is a focal length of a whole lens system.
 4. Theimaging lens according to claim 1, wherein said fourth lens has a focallength f4 so that the following conditional expression is satisfied:−5.0<f4/f<−1.0, where f is a focal length of a whole lens system.
 5. Theimaging lens according to claim 1, wherein said fifth lens has a focallength f5 and said sixth lens has a focal length f6 so that thefollowing conditional expression is satisfied:−2.0<f5/f6<−0.5.
 6. An imaging lens comprising: a first lens; a secondlens; a third lens having positive refractive power; a fourth lenshaving negative refractive power; a fifth lens; and a sixth lens,arranged in this order from an object side to an image plane side,wherein said first lens is formed in a shape so that a surface thereofon the object side is convex near an optical axis thereof, said fourthlens is formed in a meniscus shape near the optical axis thereof, saidsixth lens is formed in a shape so that a surface thereof on the imageplane side is concave near an optical axis thereof, and said third lenshas a focal length f3, said fourth lens has a focal length f4, saidfifth lens has a focal length f5, and said sixth lens has a focal lengthf6 so that the following conditional expressions are satisfied:0.5<f3/f<2.0,−5.0<f4/f<−1.0,−2.0<f5/f6<−0.5, where f is a focal length of a whole lens system. 7.The imaging lens according to claim 6, wherein said first lens has afocal length f1 and said second lens has a focal length f2 so that thefollowing conditional expression is satisfied:−1.5<f1/f2<−0.4.
 8. The imaging lens according to claim 6, wherein saidsecond lens is formed in a shape so that a surface thereof on the objectside has a curvature radius R2 f and a surface thereof on the imageplane side has a curvature radius R2 r so that the following conditionalexpression is satisfied:0.4<R2r/R2f<0.8.